Finding the Fourth Proportional to 6,667.88, 10,012.10 and 5,641.37

Step by Step Solution

1. Step 1: Write the proportion equation
   6,667.88 : 10,012.10 = 5,641.37 : x
2. Step 2: Convert to fraction form
   6,667.88/10,012.10 = 5,641.37/x
3. Step 3: Cross multiply
   6,667.88x = 10,012.10 × 5,641.37
4. Step 4: Simplify right side
   6,667.88x = 56,481,960.58
5. Step 5: Solve for x
   x = 56,481,960.58/6,667.88
6. Step 6: Final answer
   x = 8,470.75